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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 7r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. (a6. 3. 5. 7 9. 11. 13 Secundum Wallisium ratio Quadrati diametri ad circulum est
  2. E6 10 1. 1
  3. 2( ag. 3. 3. 5. 5. 7.7. 9. 9. 11. 11 etc
  4. 1. 3. 3. 5.5, 7.7. 99. 11. 1etC aequ. 1). Ergo fiet
  5. 2, 4. 4. 6.0. 8.
  6. 4. 7. 6. 6. 8. 8. 10.10. 12. 12 etc et Y2F) aeg. 3. 5
  7. 10, 12. 1EM
  8. 9. 11 etc. Sed hinc colligo expressionem
  9. 2. ete
  10. Nallisianam posse quidem haberi pro appropinquatione,, sed non pro expressione exacta cujus apparet
  11. continuabilitas in infinitum, sed non pro exucta expressione per infinitam seriem consideratam semel
  12. in uaersum, cum enim exprimendo per suppositato continuationem in infinitum oritur absrdum
  13. dividendo enic omnes nam omnes numeri numerutoris tolli possunt, quia habentur eorum multipli–
  14. in uxminatore, si uterque in infinitum continceatus intelligitur, et ita paret (2FI aeg. 4. 2. 8. 2. 12. 2. et
  15. 2b
  16. C, 16. 24 etC quod est absurdum fieret enim Y2F) quantitas infinite parva, similiter fieret
  17. . seu 2F.) aeqF
  18. 64. 256. 576 et c. V
  19. 64. 1. 64. 4. 64.9. etc. Itaque
  20. itaque d potius s exprimendum est, ss ad C) continue appro-
  21. pinquari per hos valores, 3.3 vel 3. 3.4.
  22. 2. 4
  23. 2. 4. 4. C
  24. vel 3. 3. 5. 5. 8. 7 ve (3. 3. 53. 47, 9. 9
  25. 2. 4, 4. 6. 6. 8 2.44. b. 6. 8. 8. 10
  26. seu 2I.) p 3 vel 3.5 vel 3. 5. 2 vel 3. 5. 7.9 vel 3. 5. 7. 9. 11 vel 3. 1. 7. 9. 1. 12
  27. Y4. 4. 13
  28. 4. 6. 54
  29. 4. 6. 8 (5 4.6. 8. 1015 4. b. 8. 10. 12. X
  30. vel 2 (() 3 vel 3.5- vel 3Z vel 3. 7.9 vel 7. 9. 11 vel Z. 9. 11. 13
  31. 12 4 13
  32. vel
  33. 9. 11, 13. 15
  34. 81b. 24. 78 8.16. 24. 1619
  35. vel 13. 15. 17. 19. 22. 23
  36. 11
  37. 8. 16. 24. 32. 40Y12
  38. Et dam.
  39. Ex issit Appropinu fit
  40. Circ.
  41. 8. V4 8. 8Y5 8. 16. Yb 8. 16. 1217
  42. vel 11. 13. 15. 17.19. vel 11. 13. 15.17. 19. 21
  43. 8. 16. 24. 32 s10 8. 16. 24. 32. 20 si
  44. e ita porro. Et proinde series Wallisiana est
  45. proprie appellanda finita indefinita seu quae alicubi
  46. f 225] 1225
  47. Adiam ad circul.
  48. 225 - 192
  49. 11025 - 9216
  50. 893025- - 737290
  51. 19845
  52. 192 1024 16354
  53. vel cn nun
  54. 10o 109056025- 88473600
  55. minoubus
  56. Ratio A dat quolienses 1. 8,B, 15, P 4 2, 1) C, 15,10, 1, 2, 1, 21
  57. 14, 1, 2 + 9u
  58. 14
  59. finienda concipi pote, lice debet, licet non exprimatur
  60. ubi.
  61. 8
  62. 95
  63. E, 129 ly 113r1045
  64. 81)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0013?run=74